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Finding the Fourth Proportional to 419,214.42, 578,500.38 and 228,223.98

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Solution

The fourth proportional to 419,214.42, 578,500.38 and 228,223.98 is: 314,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,214.42 : 578,500.38 = 228,223.98 : x
  2. Step 2: Convert to fraction form
    419,214.42/578,500.38 = 228,223.98/x
  3. Step 3: Cross multiply
    419,214.42x = 578,500.38 × 228,223.98
  4. Step 4: Simplify right side
    419,214.42x = 132,027,659,155.11
  5. Step 5: Solve for x
    x = 132,027,659,155.11/419,214.42
  6. Step 6: Final answer
    x = 314,940.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.